Find the average value of the function over the indicated interval [-1, 1].
A) 2
C) 0

Name: Find the average value of the function over the indicated interval [-1, 1]. A) 2 C) 0
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Question

Find the average value of the function  over the indicated interval [-1, 1].
A) 2 
C) 0

Quizplus · Accepted Answer

To find the average value we need to compute the definite integral of the function over the interval [-1,1] and divide by the length of the interval. 
∫[-1,1]11e^(x^2)dx = (11/2) ∫[-1,1] e^(x^2) d(x^2) = (11/2) [e^(x^2)] [-1,1] = (11/2) [e - e] = 0 
Therefore, the average value is 0.

Find the Average Value of the Function Over the Indicated